Critical points with prescribed energy for a class of functionals depending on a parameter: existence, multiplicity and bifurcation results Article Swipe

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Humberto Ramos Quoirin , Gaetano Siciliano , Kaye Silva ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.1088/1361-6544/ad39dd

We look for critical points with prescribed energy for the family of even functionals , where are C 1 functionals on a Banach space X , and . For a given and several classes of , we prove the existence of infinitely many couples such that More generally, we analyse the structure of the solution set of the problem

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Mathematics

Bifurcation Theory

Mathematical Analysis

Computer Science

Physics

Quantum Mechanics

Artificial Intelligence

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Mathematics Multiplicity (mathematics) Bifurcation Class (philosophy) Bifurcation theory Mathematical analysis Pure mathematics Applied mathematics Nonlinear system Computer science Physics Quantum mechanics Artificial intelligence

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Type: article
Language: lv
Landing Page: https://doi.org/10.1088/1361-6544/ad39dd
PDF: https://iopscience.iop.org/article/10.1088/1361-6544/ad39dd/pdf
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Cited By: 6
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Title: Critical points with prescribed energy for a class of functionals depending on a parameter: existence, multiplicity and bifurcation results

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Publication year: 2024

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Publication date: 2024-04-23

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Authors: Humberto Ramos Quoirin, Gaetano Siciliano, Kaye Silva

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Concepts: Mathematics, Multiplicity (mathematics), Bifurcation, Class (philosophy), Bifurcation theory, Mathematical analysis, Pure mathematics, Applied mathematics, Nonlinear system, Computer science, Physics, Quantum mechanics, Artificial intelligence

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abstract_inverted_index.points	5
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abstract_inverted_index.<mml:mo	121, 140
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abstract_inverted_index.<mml:mtr>	153
abstract_inverted_index.existence	112
abstract_inverted_index.structure	246
abstract_inverted_index.</mml:mtd>	236
abstract_inverted_index.</mml:mtr>	237
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abstract_inverted_index.infinitely	114
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abstract_inverted_index.<mml:mstyle	187, 189, 194, 225
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abstract_inverted_index.</mml:mstyle>	193
abstract_inverted_index.</mml:mtable>	238
abstract_inverted_index.<mml:msubsup>	155
abstract_inverted_index.</mml:msubsup>	171
abstract_inverted_index.scriptlevel="0">	191
abstract_inverted_index.scriptlevel="0"/>	188, 195, 226
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abstract_inverted_index.columnalign="left"	151
abstract_inverted_index.overflow="scroll">	17, 41, 67, 83, 99, 119, 148
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abstract_inverted_index.<mml:mi>′</mml:mi>	169
abstract_inverted_index.<mml:mo>∈</mml:mo>	70, 86, 230
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abstract_inverted_index.displaystyle="false"	190
abstract_inverted_index.displaystyle="true">	152
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abstract_inverted_index.stretchy="false">(</mml:mo>	122
abstract_inverted_index.stretchy="false">)</mml:mo>	141
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abstract_inverted_index.mathvariant="normal">∀</mml:mi>	228
abstract_inverted_index.mathvariant="double-struck">N</mml:mi>	233
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abstract_inverted_index.xmlns:mml="http://www.w3.org/1998/Math/MathML"	16, 40, 66, 82, 98, 118, 147, 255
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corresponding_author_ids	https://openalex.org/A5003093729, https://openalex.org/A5034637335, https://openalex.org/A5051216000
countries_distinct_count	3
institutions_distinct_count	3
corresponding_institution_ids	https://openalex.org/I166401450, https://openalex.org/I5561750, https://openalex.org/I68106152
citation_normalized_percentile.value	0.94963824
citation_normalized_percentile.is_in_top_1_percent	False
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